About 6,500 homes and businesses in south Tunbridge Wells and Frant were without water on Wednesday.
The company says 4,000 customers in Kent and East Sussex are without water.
The helicopter lifts two parts of the tanks across fields in Bidborough.
The average South East Water bills is expected to rise by 20% this year.
All of the homes affected by the water outage in west Kent have had their supply restored.
The majority of the 600 homes still affected on Thursday morning have had their supply restored.
Tonbridge residents are airing their frustration after spending days without water supply.
MP Tom Tugendhat says the disruption caused to residents by the outage is "unacceptable".
